Can the Copernican principle be tested by cosmic neutrino background?

Understand

The Copernican principle, stating that we do not occupy any special place in our universe, is usually taken for granted in modern cosmology.

• However recent observational data of supernova indicate that we may live in the under-dense center of our universe, which makes the Copernican principle challenged.
• It thus becomes urgent and important to test the Copernican principle via cosmological observations.
• Taking into account that unlike the cosmic photons, the cosmic neutrinos of different energies come from the different places to us along the different worldlines, we here propose cosmic neutrino background as a test of the Copernican principle.